q-Mittag-Leffler stability and Lyapunov direct method for differential systems with q-fractional order

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q-Mittag-Leffler stability and Lyapunov direct method for differential systems with q-fractional order

*Correspondence: [email protected] School of Mathematical Science, Anhui University, Hefei, P.R. China Abstract In this paper, using the theory of q-fractional calculus, we deal with the q-Mittag-Leffler stability of q-fractional differential systems, and based on it, we analyze the direct Lyapunov method of q-fractional differential systems. Several sufficient criteria are established to guaran...

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ژورنال

عنوان ژورنال: Advances in Difference Equations

سال: 2018

ISSN: 1687-1847

DOI: 10.1186/s13662-018-1502-5